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Applications of measure theory to statistics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Applications of measure theory to statistics/ by Gogi Pantsulaia.
Author:	Pantsulaia, Gogi.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xv, 134 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematical statistics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-45578-5
ISBN:	9783319455785

Applications of measure theory to statistics
Pantsulaia, Gogi.

Applications of measure theory to statistics[electronic resource] /by Gogi Pantsulaia. - Cham :Springer International Publishing :2016. - xv, 134 p. :ill., digital ;24 cm.

This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.

ISBN: 9783319455785

Standard No.: 10.1007/978-3-319-45578-5doiSubjects--Topical Terms:

527941
Mathematical statistics.

LC Class. No.: QA276

Dewey Class. No.: 519.5

Applications of measure theory to statistics
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020 $a 9783319455785 $q (electronic bk.)
020 $a 9783319455778 $q (paper)
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035 $a 978-3-319-45578-5
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041 0 $a eng
050 4 $a QA276
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072 7 $a MAT029000 $2 bisacsh
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090 $a QA276 $b .P198 2016
100 1 $a Pantsulaia, Gogi. $3 1116508
245 1 0 $a Applications of measure theory to statistics $h [electronic resource] / $c by Gogi Pantsulaia.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xv, 134 p. : $b ill., digital ; $c 24 cm.
520 $a This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
650 0 $a Mathematical statistics. $3 527941
650 0 $a Measure theory. $3 527848
650 1 4 $a Statistics. $3 556824
650 2 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Analysis. $3 669490
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Topology. $3 633483
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-45578-5
950 $a Mathematics and Statistics (Springer-11649)

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